Fuel Consumption and Cars. The Fiat 500E is an electric car that can travel approximately 80-100 miles on a full charge. The time it takes to fully recharge depends on the percent depleted, but is approximately normal with mean 2.2 hours and standard deviation 0.6 hour (on a 240-volt line). 

Suppose a random Fiat 500E is recharged.

(a) What is the probability (±0.0001) that the amount of time to fully recharge is between 1 and 2 hours?

P(1?X?2) = 

(b) What is the probability (±0.0001) that the amount of time to fully recharge is more than 3 hours?

P(X>3) = 

(c) If the amount of time to fully recharge is less than 30 minutes, the car could still travel another 50 miles. What is the probability (±0.0001) that the car could travel another 50 miles?

P(X<0.5) = 

(d) Suppose three Fiat 500E's are selected at random. What is the probability (±0.0001) that all three will have a time to fully recharge greater than 2.5 hours?

P(all 3 take more than 2.5 hours to recharge) =